Bessel differential equation

The Bessel differential equation of order

ν

is

x^{2} y^{''} + x y^{'} + (x^{2} - ν^{2}) y = 0.

For noninteger

ν

,

J_{ν}

and

J_{- ν}

form a linearly independent pair of solutions.

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Bessel density modes during exponential expansion
Bessel function of the first kind
Bessel function of the second kind
Bessel transition for an exponentially decaying oscillator
Hankel function
Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 48 / 4 / Solution
Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 67 / 1 / Solution
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Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 336 / 3 / ii / Solution
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Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 314 / 2 / a / i / Solution
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